consider triangle pqr. what is the length of side qr? 8 units 8√3 units 16 units 16√3 units

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle PQR with right - angle at P, by the Pythagorean theorem (QR^{2}=PQ^{2}+PR^{2}). Given (PQ = 8\sqrt{3}) and (PR = 8).

Step2: Calculate (QR^{2})

(QR^{2}=(8\sqrt{3})^{2}+8^{2}=192 + 64=256).

Step3: Find (QR)

Take the square - root of (QR^{2}), (QR=\sqrt{256}=16).

Answer:

16 units